ELECTRONIC AND SUPERCONDUCTING PROPERTIES OF A SUPERLATTICE OF QUANTUM STRIPES AT THE ATOMIC LIMIT

The superconducting gap, the critical temperature and the isotope coef ficient in a superlattice of metallic quantum stripes is calculated as a function of the electron number density. We show that it is possibl e to design a particular artificial superlattice of quantum stripes th at exhibits the curves of T-c and of the isotope coefficient as a func tion of the charge density as in cuprate superconductors. The shape of the superlattice is designed in order to tune the chemical potential near the bottom of the third subband for an electron number density of rho similar to 5.810(-2) Angstrom(-2). The superconducting critical t emperature shows a resonant amplification as a function of electron nu mber density rho with a maximum at a critical value rho(c). The isotop e coefficient shows a sharp drop from a regime where alpha > 0.5 at rh o < rho(c) to a regime where alpha < 0.2 at rho greater than or equal to rho(c). The underdoped and overdoped regime in cuprate superconduct ors is associated with a transition from a quasi 1D behavior for rho > rho(c) to quasi 2D behavior for rho < rho(c) with opening of a pseudo gap at rho similar to rho(c).